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Mapping hyperbolic disk to band and ring model with Matlab

€30-250 EUR

Закрито
Опублікований over 4 years ago

€30-250 EUR

Оплачується при отриманні
Preamble: - The following is part of a non-commercial art project with a fixed budget of 150 EUR but no strict deadline. A sufficient time interval would be completion in 1-2 weeks. - Making higher price bids than the budget or low price bids without reading the task description and demanding more later is futile and only a waste of time for all stakeholders. - Demanding a milestone release without me inspecting and testing the Matlab code first will not be accepted. Description: This project requires knowledge in complex analysis , image processing and Matlab programming (usage of meshgrid in image processing). Given are hyperbolic Poincaré disks with image textures like in [login to view URL] In [login to view URL] Bulatov proposed - a set of visualizations of one hyperbolic disk by conformal mapping it to a band model (page 4) - an infinite set of visualizations of one band model by conformal mapping it to a ring model (page 5) Goal is to define parametric conformal mappings that map Poincaré disks first to the band model and the band model to the ring model in a high quality by using Matlab preferably with meshgrid and interp2 as proposed in my framework for image distortion with complex valued functions (see code below). 1) Map to band model In the presentation [login to view URL] slide 25 the band model is given as a special case of the Schwarz-Christoffel conformal mapping for n=2 based on the inverse hyperbolic tan: f(z) = 2*pi*atanh(z). In [login to view URL] page 3 an other conformal map is given as: f(z) = (4./pi).*atanh(z). This is the only mapping that showed some first progress towards a band considering the example image img_out_band_(([login to view URL]).atanh(z)).jpg and comparing it to the animation "stretching the disk into the band" in [login to view URL](1) In [login to view URL] an other formulae is given: f(z) = ((4./pi).*log((1+z)./(1-z))). 2) Map to a ring In [login to view URL] page 5 the mapping from the band model to the ring model is given by: f(z) = exp(z./a). "... the real parameter a ∈ R should be divisible by the euclidean period of the tiling in the band model. There is infinite series of different value such parameters, which makes infinite series of different rings from the same hyperbolic tiling." TilingBot gives potential useful information about bending the band model to a ring (and even spiral!) in [login to view URL] Deforming the Poincaré disk has worked in my framework (see code below) in many other cases like inverted disk (1/a*z), a Mobius transformation (((((1-1i).*z)+4)./(((1+1i).*z)+4))) and the Joukowsky transformation (((0.5).*((1.00.*z)+(1./(1.00.*z))))) but failed with the band and ring model. Framework for image distortion with complex valued functions: wh_out = num2cell([1000,2000]); [w_o,h_o] = wh_out{:}; % w and h of output image [h_i, w_i, d] = size(img); % input image = Poincaré disk with image textures % GENERATE OUTPUT-GRID AND NORMALIZE [-1 1] [xo1,yo1] = meshgrid(1:w_o,1:h_o); xo1 = (xo1/w_o)*2 - 1; yo1 = (yo1/h_o)*2 - 1; % WARP OUTPUT-GRID WITH f(z) AND SEPARATE REAL AND IMAGINARY PARTS fxiy = (4./pi).*atanh(deg2rad(xo1+1i.*yo1))); xo1=real(fxiy); yo1=imag(fxiy); % NORMALIZE OUTPUT-GRID [0 1] xo1 = (xo1+1)/2; yo1 = (yo1+1)/2; % GENERATE INPUT-GRID AND NORMALIZE [0 1] [xi,yi] = meshgrid(linspace(0,w_i+1,w_i),linspace(0,h_i+1,h_i)); xi = xi / w_i; yi = yi / h_i; % INTERPOLATION OF OUTPUT-IMAGE img = double(img); img_out = zeros(h_o,w_o,d); for k = 1:d; img_out(:,:,k) = uint8(interp2(xi, yi, img(:,:,k), xo1, yo1, 'linear')); end
ID проекту: 21053113

Про проект

14 пропозицій(-ї)
Дистанційний проект
Активність 4 yrs ago

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14 фрілансерів(-и) готові виконати цю роботу у середньому за €148 EUR
Аватарка користувача
Dear sir. Your project attracted my attention at first glance, because I've extensive experience in matlab Programming. I'm really confident about your project, and very eager to join your project. If we have a chance to cooperate, I'll do my best to provide wonderful result. Looking forward to your response. Best Regards.
€200 EUR за 7 дні(-в)
4,9 (80 відгуки(-ів))
6,7
6,7
Аватарка користувача
For more details inbox me so that we can discuss in detail. For more details inbox me so that we can discuss in detail. For more details inbox me so that we can discuss in detail.
€140 EUR за 7 дні(-в)
4,9 (58 відгуки(-ів))
6,3
6,3
Аватарка користувача
Hi! My name is Fernando Téllez. I am a senior year student of electrical engineering at Universidad Simón Bolívar (USB), one of the most prestigious universities in my country (Ranked 34° at the QS University Rankings: Latin America 2015). I code using matlab/python ON A DAILY BASIS to solve any kind of engineering, logical, statistical and mathematical problem.
€250 EUR за 7 дні(-в)
4,9 (50 відгуки(-ів))
5,8
5,8
Аватарка користувача
Hello I'm Mohamed Saeed. MATLAB expert with high experience. I'm expert in image processing. I have checked your job description and I'm ready to help you in your project
€277 EUR за 2 дні(-в)
4,6 (44 відгуки(-ів))
5,7
5,7
Аватарка користувача
I have well experienced in doing such kind of jobs.......................................................................
€50 EUR за 7 дні(-в)
4,7 (38 відгуки(-ів))
5,3
5,3
Аватарка користувача
I DO NOT OUTSOURCE I have been a freelancer for the past 8 years, I believe that my experience and skill in this background will prove to be of great help to you. Contact me to discuss more on the details
€120 EUR за 5 дні(-в)
4,4 (12 відгуки(-ів))
4,6
4,6
Аватарка користувача
Hello Sir/ Ma’am We are a group of Software Engineers (Programmers) having 10+ years of experience. Expert in JAVA, C, C++ , C# , Python, ANDROID,IOS, MATLAB, IONIC. Done 40+ projects here on FREELANCER.COM. Please check our profile for reference. The bid is negotiable and we can talk about the price. Thank you
€30 EUR за 1 день
5,0 (7 відгуки(-ів))
3,3
3,3
Аватарка користувача
Hey! Hope you are doing well. I'm an Aerospace engineer with very good experience in MATLAB. I think I can help you get your job done in a neat way. Let's discuss more in chat. Have a great day!
€250 EUR за 7 дні(-в)
5,0 (6 відгуки(-ів))
3,4
3,4
Аватарка користувача
Yes buddy,,,seems to be an easy project,u will get the best work done accompanied with brotherhood,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
€60 EUR за 7 дні(-в)
4,6 (11 відгуки(-ів))
3,0
3,0
Аватарка користувача
Hello sir. I'm excited about your project, because I've really rich experience in matlab Programming. I've developed many projects similar to yours and excellent skills. If you award me, I'll provide wonderful result on time. Your further response will be greatly welcome. Regards.
€140 EUR за 7 дні(-в)
5,0 (1 відгук)
1,2
1,2
Аватарка користувача
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€50 EUR за 7 дні(-в)
0,0 (0 відгуки(-ів))
0,0
0,0

Про клієнта

Прапор GERMANY
Schmelz, Germany
5,0
11
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